Lebesgue sampling approach to robust stabilization of boolean control networks with external disturbances |
| |
| Institution: | 1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, PR China;2. Shandong Key Laboratory of Intelligent Buildings Technology, School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan 250101, PR China;1. School of Mathematics, Shandong University, Jinan 250100, Shandong, P. R. China;2. School of Management, Shandong University, Jinan 250100, Shandong, P. R. China |
| |
| Abstract: | This paper introduces the Lebesgue sampling approach to the robust stabilization of Boolean control networks (BCNs) with external disturbances. Given a Lebesgue sampling region and a feedback control, a time aggregated system is obtained via the semi-tensor product method. Then, a new criterion is presented for the robust stabilization of time aggregated system. Furthermore, given a signal of Lebesgue sampling, a sequence of the Lebesgue type robust reachable sets is constructed. Based on these reachable sets, several algorithms are presented to design both Lebesgue sampling region and sampled-data state feedback control for the robust stabilization of BCNs. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
